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29 Cards in this Set

  • Front
  • Back

What is the rule for sine?

a/sinA = b/sinB = c/sinC

What is the rule for cosine?

a^2=b^2 + c^2 - 2bc cosA

What is the formula for the area of a triangle?

1/2absinC

What is the formula for writing an expression as a log?

Loga n= x means that a^x=n

What are the log rules?

Loga xy=logax+logay


Loga(x/y)= logax-logay


Loga(x)^k= klogax

What is the equation for changing the base in logs?

Logax=logbx/logba



Or the special case...


Logab=1/logba

What does the ! mean?

Factorial

What is the equation for working out the binomial expansion?

nC0a^n+nC1a^n-1b+nC2a^n-2b^2 etc.

How do you convert degrees to radians?

1radian= 180degrees/pi

How do you convert degrees into radians?

1degree=pi/180

What is the equation for arc length?

l=r x feta

What is the equation to working out the area of a sector?

A=1/2r^2 x feta

What is the equation for changing the base in logs?

Logax=logbx/logba



Or the special case...


Logab=1/logba

What does the ! mean?

Factorial

What is the equation for working out the binomial expansion?

nC0a^n+nC1a^n-1b+nC2a^n-2b^2 etc.

How do you convert degrees to radians?

1radian= 180degrees/pi

How do you convert degrees into radians?

1degree=pi/180

What is the equation for arc length?

l=r x feta

What is the equation to working out the area of a sector?

A=1/2r^2 x feta

What is the equation for a circle with centre (0,0)?

x^2 + y^2 = r^2

What is the equation for a circle with centre (a,b)?

(x-a)^2 + (y-b)^2 = r^2

What is the equation for finding the common ratio?

Un/Un-1

What is the formula for finding the sum of a geometric sequence?

Sn= a(1-r^n)/1-r

What is the equation for finding a term in a geometric sequence?

Tn= ar^n-1

What is the equation for finding the sum to infinity in a geometric sequence?

Sn= a/1-r

What is a CAST diagram?

Anticlockwise graph


A= everything is positive


S= Sine positive and the rest are negative


T= Tan is positive and the rest are negative


C- Cosine is positive and the rest are negative

On a sine curve, where does y=0?


At y=0


x= 180 and x=360 (etc)

On a cosine curve, where does y=0?


At y=0


x=90 and x=270 (etc)

What is a period for sine cosine and tangent?


Sine= 360 degrees


Cosine= 360 degrees


Tangent= 180 degrees